TY - JOUR
T1 - Nonlinear Elliptic Equations of Sublinearity
T2 - Qualitative Behavior of Solutions
AU - Ikoma, Norihisa
AU - Tanaka, Kazunaga
AU - Wang, Zhi Qiang
AU - Zhang, Chengxiang
N1 - Funding Information:
the second). The third author was supported by NSFC-11771324 and NSFC-11831009. Last, the fourth author was supported by NSFC-12001044 and Fundamental Research Funds for the Central Universities (grant no. 2019NTST17).
Funding Information:
Acknowledgements. This work was completed as a part of the NSFC-JSPS bilateral joint research project “Variational study of nonlinear PDEs”(grant no. 11811540026, 120187426). All of the authors thank NSFC, JSPS, Fujian Normal University, Tianjin University, and Waseda University for their support and hospitality. The first and second authors were supported by JSPS KAKENHI (grant nos. JP17H02851, JP19H01797, and JP19K03590 for the first author and JP17H02855, JP16K13771, JP26247014, JP18KK0073, and JP19H00644 for
Funding Information:
This work was completed as a part of the NSFC-JSPS bilateral joint research project “Variational study of nonlinear PDEs”(grant no. 11811540026, 120187426). All of the authors thank NSFC, JSPS, Fujian Normal University, Tianjin University, and Waseda University for their support and hospitality. The first and second authors were supported by JSPS KAKENHI (grant nos. JP17H02851, JP19H01797, and JP19K03590 for the first author and JP17H02855, JP16K13771, JP26247014, JP18KK0073, and JP19H00644 for the second). The third author was supported by NSFC-11771324 and NSFC-11831009. Last, the fourth author was supported by NSFC-12001044 and Fundamental Research Funds for the Central Universities (grant no. 2019NTST17).
Publisher Copyright:
© 2022 Department of Mathematics, Indiana University. All rights reserved.
PY - 2022
Y1 - 2022
N2 - We study existence, uniqueness, and qualitative property of solutions for a class of nonlinear elliptic equations of sublinearity. We also study the asymptotic behavior of a ground state solution for sublinear equations in RN and give estimates for a radius of its support set as various parameters involved, including the sublinearity power approaching to the limiting cases.
AB - We study existence, uniqueness, and qualitative property of solutions for a class of nonlinear elliptic equations of sublinearity. We also study the asymptotic behavior of a ground state solution for sublinear equations in RN and give estimates for a radius of its support set as various parameters involved, including the sublinearity power approaching to the limiting cases.
UR - http://www.scopus.com/inward/record.url?scp=85140071125&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85140071125&partnerID=8YFLogxK
U2 - 10.1512/iumj.2022.71.9168
DO - 10.1512/iumj.2022.71.9168
M3 - Article
AN - SCOPUS:85140071125
SN - 0022-2518
VL - 71
SP - 2001
EP - 2043
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 5
ER -